Preheat the oven to 350°F (175°C). Grease a 9-inch round baking pan.
In a large bowl, cream the butter and sugar together until light and fluffy. Add the eggs one at a time, mixing well after each addition.
Stir in the milk, lemon juice, lemon zest, and vanilla extract until fully combined.
In another bowl, whisk together the flour, baking powder, and salt. Gradually add to the wet ingredients, mixing just until combined. Do not overmix.
Pour the batter into the prepared baking pan and smooth the top.
Bake for 35-40 minutes, or until a toothpick inserted into the center comes out clean.
Meanwhile, make the drizzle by mixing powdered sugar and lemon juice until smooth.
Once the cake is done, remove it from the oven and let it cool in the pan for 10 minutes. Remove the cake from the pan and drizzle with the lemon glaze.
Notes
This cake pairs perfectly with a cup of hot tea for an afternoon treat.